10.00am:John Bercow today presides over his first PMQs. This is sometimes written up as a great challenge, but, unless an MP says something that is out of order (which doesn't happen often), it's a relatively straightforward task that involves calling out names in the right order, pronouncing surnames properly and telling people to be quiet when the shouting gets too loud. I expect we'll see a display of dull competence.

As for Gordon Brown and David Cameron, when they clashed yesterday when Brown delivered a statement on the EU summit, Brown kept banging on about the Tories forming an alliance with supposed extremists in Brussels. Brown is not known for underusing anything he thinks makes good propaganda, so we may hear a lot more about that today.

12.02pm:Gordon Brown starts with tributes to a soldier killed in Afghanistan, and with condolences to the families of the two men killed in Iraq whose bodies were recently released to the British.

12.04pm:Housing

Patrick Hall (Lab, Bedford) says the Conservatives generally campaign against housing. There's lots of shouting from the Tory benches. Bercow interrupts as the question gets longwinded, saying the PM has "got the gist of it".

Brown replies with a line about the Tories proposing to cut public spending by 10%.

12.05pm:David Cameron

The Tory leader starts with a joke. Brown had "more than the gist of it". He had a prepared answer, he says.

Then he says that Brown was wrong when he said capital expenditure would continue to grow until the Olympics. Will Brown correct that?

12.06pm: Brown says yes, but not as if he's accepting he made a mistake. He reads out capital expenditure figures for the next few years, saying they only go down after the Olympics.

Cameron says Brown has been caught out. If he believed in honesty, he would say he has been caught out. Will he do that now?

12.08pm: Brown says, again, that the money has been brought forward. He did this to cope with the recession. The Tories would cut expenditure.

12.09pm: Cameron says that Brown has been quoting figures for the past two years, years that have already happened. He picks up a copy of the budget book and quotes the figures again going up to 2012, showing that they go down.

12.09pm: Brown again says that he has brought forward investment. He says the figures for this year (I think) are at a record high.

12.12pm: Cameron quotes from a story about a cabinet meeting saying that other ministers do not support the claims he is making about Tory spending. He wants to be a teacher, but he's lost control of the class. He again challenges Brown to read out the figures going up to 2012.

Brown starts with figures for 2007-08 and 2008-09. There's lots of shouting. Bercow interrupts. There's too much noise. The public don't like it and neither does he, Bercow says.

Cameron says that Brown is not a big enough man to admit that he's wrong.

12.13pm: Brown goes on to the attack, mentioning the 10% figure again.

After he finishes, Bercow tells the Tory MP Michael Fabricant to calm down. "It's not good for your health," Bercow says. MPs seem to find this funny.

Iraq inquiry

In response to a question from the Labour MP Paul Farrelly, Brown says that he cannot think of an inquiry with wider terms of reference.

12.14pm:Nick Clegg

The Lib Dem leader starts with tributes to the dead serviceman and the dead hostages.

Then he says that on the Gurkhas and other issues Brown has had to admit he's wrong. When will he admit he's wrong on public spending?

12.15pm: Brown says he's not wrong on public spending. It's the Liberals who want to cut spending, not Labour.

12.15pm: Bercow, for the third time, calls for quiet.

12.15pm: Clegg says that Brown is not addressing the deficit. No one is fooled by his policy of cutting up cuts as investment. (Is he accusing Brown of cutting spending, or not cutting? It's not clear.) He says that he has taken tough decisions on issues like Trident. When will Brown do the same?

12.17pm: Brown again says he's committed to maintaining public spending.

12.18pm:Damian McBride

A Tory MP asks Brown if he has had any calls or texts from Damian McBride since he resigned. (There have been claims that he consulted McBride by text before his recent interview on the Andrew Marr programme.)

No, says Brown. He says it's amazing that a backbencher is asking a question asked last week when other issues such as Iran, Iraq and Afghanistan could be covered, he says.

12.19pm:Poland

Daniel Kawczynski (Con, Shrewsbury and Atcham) says that Brown's recent comments on the Polish Law and Justice party – the Tories' new partners in the European parliament – are an insult to the Poles who elected that party.

12.21pm: Brown says that he has good relations with the Polish president (a member of the Law and Justice party). But he asks MPs to look at the party's policies.

Salter then asks Brown to extend the terms of reference of the committee being set up to consider procedural reform. Brown says there will be a debate on these issues.

12.24pm:Police

Barry Gardiner (Lab, Brent North) says this morning that a police superintendent telephoned him. MPs start laughing before can finish his sentence. Gardiner then makes it clear that he's talking about falling crime statistics. He says he wants 10% to be the figure by which crime falls further, and connects this to a point about the 10% cuts in public spending the Tories are supposedly planning.

Brown says a 10% cut in police spending would be disastrous.

12.26pm:Mental health

Mark Harper (Con, Forest of Dean) asks Brown to consider a proposal from Alastair Campbell for the Mental Health Act to be amended to take out the clause disqualifying people who have been sectioned from serving as MPs. This is seen as discriminatory, because there is no equivalent provision for MPs handicapped by a physical condition. Brown says he will consider it.

12.28pm:Equitable Life

Sir Paul Beresford (Con, Mole Valley) says the government has not responded adequately to the ombudsman's report on Equitable Life.

Brown says another report will come "in due course".

12.30pm:Military spending

A Labour MP asks about military spending and starts to criticise the Tories. Bercow intervenes to say that the PM does not have to concern himself with opposition policy. But he has not intervened like that when Brown has been commenting on Tory policy.

Brown defends his military spending record.

12.31pm:Europe

A Labour MP says that one of the Tories' new sister parties in Europe – Latvia's For Fatherland and Freedom party – has paid tribute to the Latvian SS.

12.32pm: Brown says it's extraordinary that the Tories cannot find mainstream partners in Europe, but by mentioning Silvio Berlusconi's party as an example who prompts laughter from MPs.

He says when ministers have key policy statements to make, the house should hear first. That's a dig at Brown, who went on to the BBC's World at One yesterday to announce the parliamentary standards authority bill.

He says that he wants MPs asking questions to ask just one question.

And he says that he and the public expect MPs to be heard.

Instant summary

John Bercow: Fine, but perhaps a bit wordy. He seemed to intervene quite a lot. He rebuked a Labour backbencher for going on about Tory policy, but did not try to impose the same rule on Gordon Brown. In future, he might find it better not to try taking the party politics out of PMQs. Michael Martin once tried to stop a Tory leader (William Hague) asking about internal Labour politics, and the general consensus was that he made himself look a bit silly.

Brown v Cameron: Cameron won clearly. He had another go at the spending issue that he raised this week, but this time he focused on a single question: asking Brown to admit that he was wrong when he said capital spending would continue to rise until 2012. Brown dodged the question, as he often does, and resorted to the "10% cuts" attack that he has been using ad nauseam over the last two weeks. Last week I thought this was quite effective. But today I didn't think it was, because Cameron's decision to concentrate on a very specific question means that media reports of the encounter will have to make the point that what Brown said last week was wrong. For Brown and Cameron, PMQs is all about getting a 30-second soundbite onto the TV news that sounds better than the other guy's 30-second soundbite. When I watch the TV news tonight, I expect Cameron to come out best.